1971 Canadian MO Problems/Problem 1
Revision as of 22:31, 27 July 2006 by Boy Soprano II (talk | contribs)
Problem
is a chord of a circle such that
and
Let
be the center of the circle. Join
and extend
to cut the circle at
Given
find the radius of the circle
Solution
First, extend to meet the circle at
Let the radius be
Applying power of a point,
and
Hence,